研究了(s〈c4,n〉)∪pm的优美性,证明了:(1)m=s-1时,(s〈c4,n〉)∪pm是优美的;(2)s=2t,m≥3+s时,(s〈c4,n〉)∪pm是优美的.其中:图〈c4,n〉是将n个c4中的每一个c4的一个顶点粘接到一起得到的新图,pm是m+1个顶点的简单路.(s〈c4,n〉)∪pm是s个〈c4,n〉与一个pm的不交并.
The article does the research on the gracefulness of(s〈c4,n〉)∪pm,which proves that(s〈c4,n〉)∪pm is graceful in case that m=s-1,and the graph(s〈c4,n〉)∪pm is graceful in case that s=2t,m≥3+s,in which the graph 〈c4,n〉 is achieved by identifying a vertex of each c4 of n c4 s with one vertex;the graph pm is the path with m+1 vertexes,and the graph(s〈c4,n〉)∪pm is the disjoint union of s〈c4,n〉s and pm.